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Write the Vector U as a Sum of Two Orthogonal projvu \operatorname{proj}_{\mathbf{v}} \mathbf{u}

Question 92

Multiple Choice

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu \operatorname{proj}_{\mathbf{v}} \mathbf{u} .
- u=5,5,v=6,8\mathbf { u } = \langle 5 , - 5 \rangle , \mathbf { v } = \langle 6,8 \rangle


A) 6,8+1,13\langle 6,8 \rangle + \langle - 1 , - 13 \rangle
B) 1.5,2+3.5,7\langle 1.5,2 \rangle + \langle 3.5 , - 7 \rangle
C) 0.6,0.8+5.6,4.2\langle - 0.6 , - 0.8 \rangle + \langle 5.6 , - 4.2 \rangle
D) 3,4+8,6\langle 3,4 \rangle + \langle - 8,6 \rangle

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